Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix C - Graphs of Second-Degree Equations - C Exercises - Page A23: 11



Work Step by Step

The vertex, the point where the parabola changes direction, is the origin. We see that the parabola $y = ax^{2} $opens upward if $a>0$ and downward if $a <0$ . Given: $y = -x^{2} $ Here, $a=-1$ This represents the equation of a parabola which has the standard form as follow: $y=a(x-h)^{2} +k $ vertex, $(h,k) =(0,0)$ The graph for $y = -x^{2} $ will be a parabola acting downwards.
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